Question

Sin (2 × 30°) = 2 Sin 30° statement is 

A) True 

B) False 

C) Can’t say 

D) Not defined

Answer 1

Correct option is: B) False

\(\because\) sin (2 \(\times\) \(30^\circ\)) = sin \(60^\circ\) = \(\frac {\sqrt3}2\) 

But 2 sin \(30^\circ\) = 2 \(\times\)\(\frac {1}2\) = 1 \(\neq\) \(\frac {\sqrt3}2\)

Hence, sin (2 \(\times\) \(30^\circ\)) \(\neq\) 2 sin \(30^\circ\) 

Hence, given statement is false.

Answer 2

Correct option is: B) False